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Finding the Fourth Proportional to 1,852.56, 2,556.46 and 1,066.60

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Solution

The fourth proportional to 1,852.56, 2,556.46 and 1,066.60 is: 1,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.56 : 2,556.46 = 1,066.60 : x
  2. Step 2: Convert to fraction form
    1,852.56/2,556.46 = 1,066.60/x
  3. Step 3: Cross multiply
    1,852.56x = 2,556.46 × 1,066.60
  4. Step 4: Simplify right side
    1,852.56x = 2,726,720.24
  5. Step 5: Solve for x
    x = 2,726,720.24/1,852.56
  6. Step 6: Final answer
    x = 1,471.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.